Publications by Sangeetha Sasikumar
Discussion Board 10-605
Consider Example 11.4 with a = .5 and b = .75. Assume that the President says that he or she will run. Find the expected length of time before the first time the answer is passed on incorrectly. P(yes, no)=a P(yes, yes)=1-a \[P(x=n)=(1-a)^{n-1} a\] \[ E(x)=\Sigma_{n=1}^{\infty} n(1-a)^{n-1} a\] \[ =a \Sigma_{n=1}^{\infty} n(1-a)^{n-1} \] \[ \frac{a...
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Discussion Board 9 - 605
A restaurant feeds 400 customers per day. On the average 20 percent of the customers order apple pie. (a) Give a range (called a 95 percent confidence interval) for the number of pieces of apple pie ordered on a given day such that you can be 95 percent sure that the actual number will fall in this range. n<-400 p<-0.2 stDev<-sqrt(p*(1-p)/n) print(...
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Discussion Board 8
Write a program to toss a coin 10,000 times. Let Sn be the number of heads in the first n tosses. Have your program print out, after every 1000 tosses, Sn − n/2. On the basis of this simulation, is it correct to say that you can expect heads about half of the time when you toss a coin a large number of times? n<-1000 heads<-0 #used to count the n...
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Discussion Board Post 7 - 605
A baker blends 600 raisins and 400 chocolate chips into a dough mix and, from this, makes 500 cookies. (a) Find the probability that a randomly picked cookie will have no raisins. This problem uses the Poission Distribution because it involves counting events and if the dough is mixed well, the event is random and independent. \[ λ=np=600×\frac...
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Week 5, Discussion Board
A student must choose one of the subjects, art, geology, or psychology, as an elective. She is equally likely to choose art or psychology and twice as likely to choose geology. What are the respective probabilities that she chooses art, geology, and psychology? \[P(art)=P(psychology)=x \] \[P(geology)=2*P(Art \lor Psychology)=2x \] \[ P(art)+P(psy...
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605-Assignment 4
Reading in the data as a list. The data is 17 images of shoes. num=17 files=list.files("/Users/Sangeetha/Downloads/jpg/",pattern="\\.jpg")[1:num] print(files) ## [1] "RC_2500x1200_2014_us_53446.jpg" "RC_2500x1200_2014_us_53455.jpg" ## [3] "RC_2500x1200_2014_us_53469.jpg" "RC_2500x1200_2014_us_53626.jpg" ## [5] "RC_2500x1200_2014_us_53632.jpg" "...
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605- Homework 2
Show that ATA≠AAT in general. (Proof and demonstration.) #A<-matrix(1:4, nrow = 2, ncol = 2) #fills column by column A<- matrix(1:4, nrow=2, byrow=TRUE) A ## [,1] [,2] ## [1,] 1 2 ## [2,] 3 4 tr<-(t(A)) print(tr) ## [,1] [,2] ## [1,] 1 3 ## [2,] 2 4 a<-(A %*% tr) b<-(tr %*% A) print(b) ## [,1] [,2] ## [...
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Discussion Board 2 - 605
C25-Doing the computations by hand, find the determinant of the matrix below. A<-rbind(c(3,-1,4),c(2,5,1), c(2,0,6)) print(A) ## [,1] [,2] [,3] ## [1,] 3 -1 4 ## [2,] 2 5 1 ## [3,] 2 0 6 det(A) ## [1] 60 The formula to get the determinant is |A| = a(ei − fh) − b(di − fg) + c(dh − eg) ...
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605- Homework 1
One of the most useful applications for linear algebra in data science is image manipulation. We often need to compress, expand, warp, skew, etc. images. To do so, we left multiply a transformation matrix by each of the point vectors. For this assignment, build the first letters for both your first and last name using point plots in R. For exampl...
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Assignment 1-607
Introduction: The article I chose to do my analysis on wasn't an actual pure "news article". "Club Soccer Predictions": https://projects.fivethirtyeight.com/soccer-predictions/ was more of a listing of predictions and current rankings. I chose this dataset because the World Cup is around the corner and I am a huge fan of soccer. soccer_data<-read...
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